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28319544 = 23341129137
BaseRepresentation
bin110110000000…
…1111100111000
31222021210010000
41230001330320
524222211134
62450553000
7462466161
oct154017470
958253100
1028319544
1114a92990
129598760
135b37136
143a92768
152745e99
hex1b01f38

28319544 has 160 divisors (see below), whose sum is σ = 90169200. Its totient is φ = 8225280.

The previous prime is 28319539. The next prime is 28319549. The reversal of 28319544 is 44591382.

It is an interprime number because it is at equal distance from previous prime (28319539) and next prime (28319549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28319499 and 28319508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28319549) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206644 + ... + 206780.

Almost surely, 228319544 is an apocalyptic number.

28319544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28319544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084600).

28319544 is an abundant number, since it is smaller than the sum of its proper divisors (61849656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28319544 is a wasteful number, since it uses less digits than its factorization.

28319544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 28319544 is about 5321.6110342640. The cubic root of 28319544 is about 304.8096779121.

The spelling of 28319544 in words is "twenty-eight million, three hundred nineteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 81 87 88 99 108 116 132 137 162 174 198 216 232 261 264 274 297 319 324 348 396 411 522 548 594 638 648 696 783 792 822 891 957 1044 1096 1188 1233 1276 1507 1566 1644 1782 1914 2088 2349 2376 2466 2552 2871 3014 3132 3288 3564 3699 3828 3973 4521 4698 4932 5742 6028 6264 7128 7398 7656 7946 8613 9042 9396 9864 11097 11484 11919 12056 13563 14796 15892 17226 18084 18792 22194 22968 23838 25839 27126 29592 31784 34452 35757 36168 40689 43703 44388 47676 51678 54252 68904 71514 81378 87406 88776 95352 103356 107271 108504 122067 131109 143028 162756 174812 206712 214542 244134 262218 286056 321813 325512 349624 393327 429084 488268 524436 643626 786654 858168 976536 1048872 1179981 1287252 1573308 2359962 2574504 3146616 3539943 4719924 7079886 9439848 14159772 28319544